In this paper, we deal with the following double phase problem $$\begin{aligned} \left\{ \begin{array}{lll} -\text{ div }\left( |\nabla u|^{p-2}\nabla u+a(x)|\nabla u|^{q-2}\nabla u\right) =&{} \gamma \left( \displaystyle \frac{|u|^{p-2}u}{|x|^p}+a(x)\displaystyle \frac{|u|^{q-2}u}{|x|^q}\right) \\ &{}+f(x,u) &{} \text{ in } \Omega ,\\ u=0&{} \partial , \end{array} \right. \end{aligned}$$ where...

background simultaneous administration of epidural local anesthetic agents (la) and general anesthetics (intravenous or inhaled) is a common procedure in patients undergoing major operations. the effects of epidural anesthesia during combined general-epidural anesthesia on the alertness level (cgea) in the awake phase and the doses of anesthetics have been reported. objectives the present study...

We consider a parametric double phase problem with Robin boundary condition. prove two existence theorems. In the first reaction is ( p − 1 )-superlinear and solutions produced are asymptotically big as λ → 0 + . second conditions on essentially local at zero small

let  be a banach algebra. let  be linear mappings on . first we demonstrate a theorem concerning the continuity of double derivations; especially that all of -double derivations are continuous on semi-simple banach algebras, in certain case. afterwards we define a new vocabulary called “-higher double derivation” and present a relation between this subject and derivations and finally give some ...

Abstract In this paper, we study a class of markets, among which can mention agricultural and energy characterized by seasonality, i.e., in demand and/or supply conditions cyclically alternate with precise known periodicity. We propose new theoretical framework based on cobweb model adaptive expectations, accordingly modified to be consistent market’s seasonality. The model, consisting second-o...